Problems > Round Trip of the Salesman

Round Trip of the Salesman

Difficulty: 2000 6000 ms 128 MB

dp bitmask

Given the pairwise travel costs between N cities, print the cheapest tour that starts at city 1, visits every city exactly once, and returns to city 1.

Input: the first line has N; the next N lines form the N×N cost matrix (row i, column j = cost i→j).

Output: the minimum tour cost.

Constraints:

  • 2 ≤ N ≤ 13
  • 1 ≤ cost ≤ 1000

Sample Tests

Input 1
3
0 1 3
1 0 1
3 1 0
Output 1
5
Input 2
2
0 5
5 0
Output 2
10

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